Embedded Weingarten tori in S^3

Abstract

In this paper, we show that an embedded Weingarten surface in S^3 of genus 1 must be rotationally symmetric, provided that certain structure conditions are satisfied. The argument involves an adaptation of our proof of Lawson's Conjecture for minimal tori.

final version, to appear in Adv. Math

References in corpus (3)

• Non-collapsing in mean-convex mean curvature flow
• Complex analysis and a class of Weingarten surfaces
• Alexandrov immersed minimal tori in S^3

Cited by in corpus (2)

• Two-point functions and their applications in geometry
• A sharp bound for the inscribed radius under mean curvature flow